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What is the Least Common Multiple of 7050 and 7062?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 7050 and 7062 is 8297850.

LCM(7050,7062) = 8297850

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Least Common Multiple of 7050 and 7062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7050 and 7062, than apply into the LCM equation.

GCF(7050,7062) = 6
LCM(7050,7062) = ( 7050 × 7062) / 6
LCM(7050,7062) = 49787100 / 6
LCM(7050,7062) = 8297850

Least Common Multiple (LCM) of 7050 and 7062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7050 and 7062. First we will calculate the prime factors of 7050 and 7062.

Prime Factorization of 7050

Prime factors of 7050 are 2, 3, 5, 47. Prime factorization of 7050 in exponential form is:

7050 = 21 × 31 × 52 × 471

Prime Factorization of 7062

Prime factors of 7062 are 2, 3, 11, 107. Prime factorization of 7062 in exponential form is:

7062 = 21 × 31 × 111 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 7050 and 7062.

LCM(7050,7062) = 21 × 31 × 52 × 471 × 111 × 1071
LCM(7050,7062) = 8297850